Find the mass and center of gravity of the lamina bounded by the x-axis, the line x = 49, and the curve y = Vx with density d=1. NOTE: Enter the exact answers. M (T, 9) = | (?, ?)

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Q: calculate the flux of the vector field through the given surface F = zi + (y −1)j + 5xk, and S is…

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Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

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A: This is a problem related to differentiation of the function. Based on the general formula and…

Q: Evaluate F. dr. F(x, y) = 7xi + 4yj C: r(t) = ti + V4 - tj, -1 sts

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Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

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Q: 6. Find the intervals on [0,27) where f(0) = sin² (0) is concave upward/ concave downward.

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Q: Find the area between the innér and outer loops of the limaçon r = 2 – 4 sin .

A: This is a problem related to area of the polar curve. based on the graph of limacon curve we will…

Q: r 0 18. common to = 3 cos 0 and 1=1+cos (

A: Given; r=3cosθ and r=1+cosθ

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Q: 6 Find the derivative of: 9/x

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Q: Suppose F(x, y) = -y sin(x)i + cos(x)j. (a) Find a vector parametric equation for the parabola y =…

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Q: Exercise (2) - Solve using paper solution. d²y dy 2- - y + x = 0 dx² dx Solve using…

A: Find your answer below

Q: √1² +25 -2 I dt

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Q: 1. Compute the solution to the following initial value problem y' + y = x, y(0) = 1 Using Picard…

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Q: Question :44 A 240 mL pharmaceutical liquid suspension dosage form is settling at a rate of 4.8…

A: This is a problem related to divination concept. Based on the given rate and volume we will…

Q: Write down the nth term of the sequence suggested by the pattern. 12, 15, 20, 27

A: here is the solution:

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Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: The gradient of f(x, y, z) = xy²z³ at the point (1, 2, 1) is

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Q: Determine the following general antiderivatives. [3x (x²-5)³4x [Axe+²7 tan(+²7) dx 10 d. cos(x)…

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Q: dy dr a. r+y = 8 Find for the following=

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: Find the following using the table below. X 1 2 3 4 f(x) 4 2 1 3 f'(x) 3 1 4 2 g(x) 3 4 2 1 g'(x) 1…

A: Value table,

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A: Given t is the time in seconds, Let d be the directed distance from the hive in meters. According to…

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Q: full

A: We will find the polar equation.

Q: Use Green's Theorem to evaluate the integral (3x² – y)dx + 3xdy where C is the circle a? + y? = 1…

A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

Q: Find the slope of the tangent line to the curve 1x² − 2xy + 1y³ = 13 at the point (4,3).

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Q: Consider the curve parameterized by x = 2t³ - 33t² + 180t and y = 2t³ + 33t² + 180t. At what points…

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Q: Set up, but do NOT evaluate, a triple iterated integral of the function f(x, y, z)=x+ z over the…

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Q: (r2 – 4xy – 2y2) dx + (y2 +4xy – 2x2) dy = 0 - Solve

A: To solve the differential equation.

Q: Evaluate the definite integral. Sols i + e*j+ t k at O e6 - 1 i+ 6 1 k i- i- (e 6 1 6 2

A: We know that integration of xn is xn+1/n+1. That is power rule of integration.     Here i attached…

Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct

Q: Watch the video on Lissajous figures e before answering this question. Which of the following sets…

A: This is a problem related to curve plotting. based on the online available calculator we will plot…

Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

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Q: 5. a. Evaluate lim(3x³ +7x−16). b. What is the meaning of this value?

A: Given;  limx-2(3x3+7x-16).

Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: a) Find a polynomial P(x)= a + a₁x+0₂2² +03x³ +ay 20² +a5 205 of degree 5 such that as = 1, and…

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Q: Sorry im running out of questions

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Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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